Read e-book online Analogue Gravity Phenomenology: Analogue Spacetimes and PDF

By Ted Jacobson (auth.), Daniele Faccio, Francesco Belgiorno, Sergio Cacciatori, Vittorio Gorini, Stefano Liberati, Ugo Moschella (eds.)

ISBN-10: 3319002651

ISBN-13: 9783319002651

ISBN-10: 331900266X

ISBN-13: 9783319002668

Analogue Gravity Phenomenology is a set of contributions that hide an unlimited diversity of parts in physics, starting from floor wave propagation in fluids to nonlinear optics. The underlying universal point of these kinds of subject matters, and consequently the focus and standpoint from which they're defined the following, is the try and advance analogue types for gravitational platforms. the unique and major motivation of the sphere is the verification and research of Hawking radiation from a horizon: the allowing function is the prospect to generate horizons within the laboratory with quite a lot of actual platforms that contain a movement of 1 variety or one other. The years round 2010 and onwards witnessed a surprising surge of experimental task during this increasing box of analysis. even if, construction an services in analogue gravity calls for the researcher to be built with a slightly large variety of information and pursuits. the purpose of this ebook is to deliver the reader brand new with the most recent advancements and supply the elemental history required so one can get pleasure from the ambitions, problems, and good fortune tales within the box of analogue gravity.

Each bankruptcy of the booklet treats a special subject defined intimately by means of the main specialists for every particular self-discipline. the 1st chapters provide an summary of black gap spacetimes and Hawking radiation ahead of relocating directly to describe the massive number of analogue spacetimes which have been proposed and are at present less than research. This introductory half is then by means of an in-depth description of what are presently the 3 such a lot promising analogue spacetime settings, particularly floor waves in flowing fluids, acoustic oscillations in Bose-Einstein condensates and electromagnetic waves in nonlinear optics. either conception and experimental endeavours are defined intimately. the ultimate chapters confer with different facets of analogue gravity past the research of Hawking radiation, similar to Lorentz invariance violations and Brownian movement in curved spacetimes, prior to concluding with a go back to the origins of the sector and an outline of the on hand observational facts for horizons in astrophysical black holes.

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Additional info for Analogue Gravity Phenomenology: Analogue Spacetimes and Horizons, from Theory to Experiment

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Now a positive x-frequency function has the form ∞ ikx , which is analytic in the upper-half complex x-plane since addition 0 dkf (k)e of a positive imaginary part to x leaves the integral convergent. g. [10], or references therein. 1 Black Holes and Hawking Radiation in Spacetime and Its Analogues 21 x-frequency function is analytic in the lower half x-plane. The argument of the logarithm is x = eiθ |x|, so ln x = iθ + ln |x|. Continuing to −x in the upper or lower half plane thus gives (ln x)± = ±iπ + ln |x| respectively, hence ei(ω/κ) ln x → e∓πω/κ ei(ω/κ) ln |x| .

Lattice black holes. Phys. Rev. D 57, 6269 (1998). hep-th/9709166 2. : Analogue gravity. Living Rev. Relativ. 8, 12 (2005). Living Rev. Relativ. 14, 3 (2011). gr-qc/0505065 3. : Event horizons and ergoregions in He-3. Phys. Rev. D 58, 064021 (1998) 4. : Gravitational collapse: the role of general relativity. Riv. Nuovo Cimento 1, 252 (1969). Gen. Relativ. Gravit. 34, 1141 (2002) 5. : Extraction of rotational energy from a black hole. Nature 229, 177 (1971) 6. : The thermodynamics of black holes.

In that limit, the emission rate diverges as 1/ω, leading to a state with macroscopic occupation number that grows in time [21, 28]. This process can also be seeded by classical perturbations, and it grows until nonlinear effects saturate the growth. The resulting standing wave, which is a well-known phenomenon in other contexts, is referred to in the white hole setting as an “undulation”. It is composed of short wavelengths that are well into the dispersive regime. Depending on the nature of the flow and the saturation mechanism, it could disrupt the flow and prevent a smooth horizon from forming.

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Analogue Gravity Phenomenology: Analogue Spacetimes and Horizons, from Theory to Experiment by Ted Jacobson (auth.), Daniele Faccio, Francesco Belgiorno, Sergio Cacciatori, Vittorio Gorini, Stefano Liberati, Ugo Moschella (eds.)

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